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Finding the Fourth Proportional to 32,448.36, 48,672.40 and 7,824.36

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Solution

The fourth proportional to 32,448.36, 48,672.40 and 7,824.36 is: 11,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.36 : 48,672.40 = 7,824.36 : x
  2. Step 2: Convert to fraction form
    32,448.36/48,672.40 = 7,824.36/x
  3. Step 3: Cross multiply
    32,448.36x = 48,672.40 × 7,824.36
  4. Step 4: Simplify right side
    32,448.36x = 380,830,379.66
  5. Step 5: Solve for x
    x = 380,830,379.66/32,448.36
  6. Step 6: Final answer
    x = 11,736.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.